Zero location and n-th root asymptotics of Sobolev orthogonal polynomials

López Lagomasino, GuillermoPijeira Cabrera, Héctor Esteban2010-01-132010-01-131999-07Journal of Approximation Theory, 1999, vol. 99, n. 1, p. 30-430021-9045https://hdl.handle.net/10016/636314 pages, no figures.-- MSC2000 codes: 42C05, 33C45.MR#: MR1696589 (2000g:42035)Zbl#: Zbl 0949.42020For a wide class of Sobolev orthogonal polynomials, it is proved that their zeros are contained in a compact subset of the complex plane and the asymptotic zero distribution is obtained. With this information, the nth root asymptotic behavior outside the compact set containing all the zeros is given.application/pdfeng© ElsevierSobolev orthogonal polynomialsBorel measuresZerosDirac measureZero location and n-th root asymptotics of Sobolev orthogonal polynomialsresearch articleMatemáticas10.1006/jath.1998.3318open access